If a variable tangent to the curve \[{{x}^{2}}y={{c}^{3}}\]makes intercepts a and b on x-and y-axis, respectively, then the value of \[{{a}^{2}}b\]is

If a variable tangent to the curve \[{{x}^{2}}y={{c}^{3}}\]makes inter

1.	If a variable tangent to the curve \[{{x}^{2}}y={{c}^{3}}\]makes intercepts a and b on x-and y-axis, respectively, then the value of \[{{a}^{2}}b\]is
A.	27\[{{c}^{3}}\]
B.	\[\frac{4}{27}{{c}^{3}}\]
C.	\[\frac{27}{4}{{c}^{3}}\]
D.	\[\frac{4}{9}{{c}^{3}}\]
Answer» D. \[\frac{4}{9}{{c}^{3}}\]

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If a variable tangent to the curve \[{{x}^{2}}y={{c}^{3}}\]makes intercepts a and b on x-and y-axis, respectively, then the value of \[{{a}^{2}}b\]is

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